How do you solve $4 e^{x} = 91$ $4e^x=91$ ?

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Answer 1 · 2018-07-03T13:43:17

$x = ln (\frac{91}{4}) \approx 3.124565145$ $color(blue)(x=ln(91/4)~~3.124565145$

$4 e^{x} = 91$ $4e^x=91$

divide by 4:

$e^{x} = \frac{91}{4}$ $e^x=91/4$

Taking natural logarithms of both sides:

$x ln (e) = ln (\frac{91}{4})$ $xln(e)=ln(91/4)$

$ln (e) = 1$ $ln(e)=1$

$:.$

$x=ln(91/4)~~3.124565145$

How do you solve 4e^x=914ex=914e^x=91?